Js. Canizares et F. Sols, THE ABSENCE OF CHARGE BACKSCATTERING IN THE NONEQUILIBRIUM CURRENT OFNORMAL-SUPERCONDUCTOR STRUCTURES, Journal of physics. Condensed matter, 8(13), 1996, pp. 207-213
We study the nonequilibrium transport properties of a normal-supercond
uctor-normal structure, focusing on the effect of adding an impurity i
n the superconducting region. Current conservation requires the superf
luid velocity to be nonzero, causing a distortion of the quasiparticle
dispersion relation within the superconductor. For weakly reflecting
interfaces we find a regime of intermediate voltages in which Andreev
transmission is the only permitted mechanism for quasiparticles to ent
er the superconductor. Impurities in the superconductor can only cause
Andreev reflection of these quasiparticles and thus cannot degrade th
e current. At higher voltages, a state of gapless superconductivity de
velops which is sensitive to the presence of impurities.